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Finding the Fourth Proportional to 7,122.51, 10,674.47 and 5,154.77

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Solution

The fourth proportional to 7,122.51, 10,674.47 and 5,154.77 is: 7,725.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.51 : 10,674.47 = 5,154.77 : x
  2. Step 2: Convert to fraction form
    7,122.51/10,674.47 = 5,154.77/x
  3. Step 3: Cross multiply
    7,122.51x = 10,674.47 × 5,154.77
  4. Step 4: Simplify right side
    7,122.51x = 55,024,358.58
  5. Step 5: Solve for x
    x = 55,024,358.58/7,122.51
  6. Step 6: Final answer
    x = 7,725.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.